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In trapezium PQRS, PQ is parallel to SR. The diagonals meet at O, and triangle POQ is similar to triangle ROS with area(POQ) : area(ROS) = 16 : 9. It is given that SR = 15 cm.
Find PQ (in cm).

Class 10Areas of Similar TrianglesGeometry — Similarity
  • A11.25
  • B26.67
  • C8.44
  • D20

Step-by-Step Solution

PQ : SR = , so PQ = cm. Using the area ratio itself as a length ratio gives cm, inverting the length ratio gives cm, and inverting the area ratio gives cm.
Answer: D) 20

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